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The nuclear level density, an important input to Hauser-Feshbachcalculations, depends not only on excitation energy but also on angularmomentum J. The J-dependence of the level density at fixed excitation energyE_x is usually parameterized via the spin-cutoff factor sigma. We carefullytest the statistical accuracy of this parameterization for a large number ofspectra computed using semi-realistic interactions in the interacting shellmodel, with a nonlinear least-squares fit of sigma and finding the error bar insigma. The spin-cutoff parameterization works well as long as there are enoughstates to be statistical. In turn, the spin-cutoff factor can be related to theaverage value of J^2 at a fixed excitation energy, and we briefly investigateextracting <J^2 (E_x)> from a thermal calculation such as one might do viaMonte Carlo.

Testing the spin-cutoff parameterization with shell-model calculations